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基于雙重逆極限的地貌信息挖掘方法研究

發(fā)布時間:2018-06-04 13:43

  本文選題:數(shù)據(jù)挖掘 + 地貌信息系統(tǒng) ; 參考:《燕山大學》2013年碩士論文


【摘要】:龐雜的地貌信息作為一種亟待人們探索和研究的空間數(shù)據(jù)信息對地球物理學的研究有著不可估量的意義。近年來,隨著信息的高速發(fā)展,地貌信息特征提取要求不斷增高,數(shù)據(jù)挖掘高效率的、準確的特點逐漸被地理信息科研工作者所認可,地貌信息數(shù)據(jù)挖掘方法進入了快速發(fā)展階段。其中,近年來,地貌信息數(shù)據(jù)挖掘方法在工程建設、農(nóng)業(yè)生產(chǎn)、礦產(chǎn)勘探、自然災害防治和環(huán)境保護等領域中得到了廣泛的應用。本文針對傳統(tǒng)方法中僅局限于對離散的地貌信息處理的缺點,基于雙重逆極限理論,利用拓撲傳遞性對繁雜的地貌特征信息進行挖掘,針對此問題從以下幾個方面對地貌信息挖掘方法進行研究 首先,本文基于雙重逆極限空間理論,根據(jù)不完備信息四元組的特點,將地貌信息分為地貌單元對象集合、地貌單元對象屬性集合和地貌單元屬性值域集合三部分,從拓撲學的角度建立了適用于不完備地貌信息的拓撲空間模型,并結(jié)合三維地表形態(tài)函數(shù)證明了其有效性。 然后,基于信息熵及概率相似度的思想,針對地貌信息,以映射誘導法建立關于地貌信息的雙重逆極限空間到地貌信息雙重空間的逆映射,并證明原信息空間與目標信息空間之間存在拓撲同構(gòu),進而利用拓撲傳遞性分析原地貌信息空間與目標信息空間的拓撲相似度。 再次,本文根據(jù)地貌信息的四元組特點,建立地貌信息系統(tǒng)模型,并對建立起的地貌信息系統(tǒng)的相軌跡、Lyapunov指數(shù)及分岔等系統(tǒng)的動力學行為進行仿真和分析,驗證本方法在地貌信息挖掘過程中的穩(wěn)定性和準確性。 最后,利用MAPGIS軟件針對地貌高程信息、坡度信息和坡向信息對軟件隨機模擬的地貌進行驗證和詳細的分析,,以此為基礎實現(xiàn)對地貌信息數(shù)據(jù)挖掘結(jié)果的準確解釋和綜合評價,為建立地形數(shù)據(jù)庫信息、局部適配區(qū)域評估等統(tǒng)計參考提供方法依據(jù)。
[Abstract]:As a kind of spatial data that needs to be explored and studied urgently, the complex geomorphological information is of inestimable significance to the study of geophysics. In recent years, with the rapid development of information, the requirements for feature extraction of geomorphological information are increasing, and the characteristics of high efficiency and accuracy of data mining are gradually recognized by geographic information researchers. Geomorphological information data mining method has entered a rapid development stage. In recent years, geomorphological information mining methods have been widely used in engineering construction, agricultural production, mineral exploration, natural disaster prevention and environmental protection. In this paper, aiming at the shortcoming of the traditional method, which is limited to the discrete geomorphologic information processing, based on the double inverse limit theory, the complicated geomorphological characteristic information is excavated by using topological transitivity. Aiming at this problem, the methods of geomorphological information mining are studied from the following aspects Firstly, based on the theory of double inverse limit space, according to the characteristics of incomplete information quaternion, the geomorphological information is divided into three parts: geomorphological unit object set, geomorphologic unit object attribute set and geomorphologic unit attribute value domain set. A topological space model suitable for incomplete geomorphological information is established from the perspective of topology, and its validity is proved by combining with 3D surface morphology function. Then, based on the idea of information entropy and probability similarity, the double inverse mapping of geomorphological information from double inverse limit space to double inverse space of geomorphological information is established by mapping induction method. The topological isomorphism between the original information space and the target information space is proved, and the topological similarity between the original geomorphological information space and the target information space is analyzed by topological transitivity. Thirdly, according to the quaternion characteristics of geomorphological information, the geomorphological information system model is established, and the dynamic behavior of the geomorphologic information system, such as phase trajectory Lyapunov exponent and bifurcation, is simulated and analyzed. The stability and accuracy of this method in geomorphological information mining are verified. Finally, MAPGIS software is used to verify and analyze the geomorphology of random simulation based on the geomorphological elevation information, slope information and slope direction information, based on which the accurate interpretation and comprehensive evaluation of geomorphological information mining results are realized. It provides the method basis for the establishment of topographic database information, local adaptation area evaluation and other statistical references.
【學位授予單位】:燕山大學
【學位級別】:碩士
【學位授予年份】:2013
【分類號】:P208;TP311.13

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